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Invariant Dynamics Library

Observability Curvature and Projection Surfaces (v0.1.0)

Zachary C. Nickens
paper version:0.1.0 observability geometry inference

Abstract

Operational dashboards project high-dimensional state into compressed views. This paper introduces observability curvature as a practical diagnostic for where projection surfaces distort intervention timing.

Suggested Citation

Nickens, Zachary C. “Observability Curvature and Projection Surfaces.” Invariant Dynamics Research Library, version 0.1.0, February 22, 2026. https://invariantdynamics.org/blogs/2026-02/observability-curvature-and-projection-surfaces-v0-1-0

Version

  • Version: 0.1.0
  • Status: working
  • Canonical version URL: /blogs/2026-02/observability-curvature-and-projection-surfaces-v0-1-0

Core Claims

  1. Projection-induced curvature is a major source of observability error.
  2. Curvature-aware diagnostics improve intervention sequencing.
  3. Explicit projection monitoring improves decision quality under uncertainty.

Working Outline

  • Formalize projection surfaces over latent manifold assumptions.
  • Define local and global curvature diagnostics.
  • Evaluate implications for reliability workflows.

Changelog

  • v0.1.0 (2026-02-22): Initial working publication.